The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 98
It is plain in the first place , that of any four magnitudes such as are spoken of in the definition , the first two ... Secondly , it is plain that by equimultiples of two magnitudes is meant that each magnitude is taken or repeated ...
It is plain in the first place , that of any four magnitudes such as are spoken of in the definition , the first two ... Secondly , it is plain that by equimultiples of two magnitudes is meant that each magnitude is taken or repeated ...
Seite 101
I. Equimultiples of the same , or of equal magnitudes , are equal to one another . II . Those magnitudes , of which the same or equal magnitudes are equi- multiples , are equal to one another . This axiom means that equi - submultiples ...
I. Equimultiples of the same , or of equal magnitudes , are equal to one another . II . Those magnitudes , of which the same or equal magnitudes are equi- multiples , are equal to one another . This axiom means that equi - submultiples ...
Seite 112
Magnitudes have the same ratio to one another which their equimultiples have . Let A B be the same multiple of C , that D E is of F. C is to F , as A B is to DE . Divide A B into magnitudes , each equal to C , viz . , A G , G H , and HB ...
Magnitudes have the same ratio to one another which their equimultiples have . Let A B be the same multiple of C , that D E is of F. C is to F , as A B is to DE . Divide A B into magnitudes , each equal to C , viz . , A G , G H , and HB ...
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A B C ABCD altitude applied base bisected Book Cassell's centre circle circumference cloth coincide common cone Const contained Corollary cylinder definition demonstration described diagonal diameter divided double draw Edition equal equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half Illustrated inscribed interior join less magnitudes manner meet multiple parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proportionals proposition proved pyramid ratio reason rectangle rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle sphere square straight lines A B taken THEOREM third touch triangle triangle ABC twice vertex Vols Wherefore whole
Bibliografische Informationen
| Titel | The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid Cassell's edition of Euclid Cassell's educational works |
| Autor/in | Euclid |
| Ausgabe | 82 |
| Verlag | Cassell, Petter, and Galpin, 1859 |
| Länge | 212 Seiten |
| Zitat exportieren | BiBTeX EndNote RefMan |